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Finding the Third Proportional to 625,083 and 1,357,410

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Solution

The third proportional to 625,083 and 1,357,410 is: 2,947,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,083 : 1,357,410 = 1,357,410 : x
  2. Step 2: Convert to fraction form
    625,083/1,357,410 = 1,357,410/x
  3. Step 3: Cross multiply
    625,083x = 1,357,410 × 1,357,410
  4. Step 4: Simplify right side
    625,083x = 1,842,561,908,100
  5. Step 5: Solve for x
    x = 1,842,561,908,100/625,083
  6. Step 6: Final answer
    x = 2,947,707.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.